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What is the Least Common Multiple of 16700 and 16718?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 16700 and 16718 is 139595300.

LCM(16700,16718) = 139595300

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Least Common Multiple of 16700 and 16718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16700 and 16718, than apply into the LCM equation.

GCF(16700,16718) = 2
LCM(16700,16718) = ( 16700 × 16718) / 2
LCM(16700,16718) = 279190600 / 2
LCM(16700,16718) = 139595300

Least Common Multiple (LCM) of 16700 and 16718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16700 and 16718. First we will calculate the prime factors of 16700 and 16718.

Prime Factorization of 16700

Prime factors of 16700 are 2, 5, 167. Prime factorization of 16700 in exponential form is:

16700 = 22 × 52 × 1671

Prime Factorization of 16718

Prime factors of 16718 are 2, 13, 643. Prime factorization of 16718 in exponential form is:

16718 = 21 × 131 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 16700 and 16718.

LCM(16700,16718) = 22 × 52 × 1671 × 131 × 6431
LCM(16700,16718) = 139595300